Hack, Hack, Who's There? A Gentle Introduction to Model Theory
by David Reid
Publisher: Smashwords 2016
Number of pages: 273
The skeleton of this narrative nonfiction book is a science fiction story without the usual mangling of physics. The flesh is composed of self-contained non-technical mainstream explanations and examples of the field of mathematics which deals with meaning, called Model Theory. Technical terms are avoided, except to occasionally serve as keywords.
Home page url
Download or read it online for free here:
by William Weiss, Cherie D'Mello - University of Toronto
This book provides an introduction to Model Theory which can be used as a text for a reading course or a summer project at the senior undergraduate or graduate level. It is a primer which will give someone a self contained overview of the subject.
by Harold Simmons - The University of Manchester
Topics covered: Basic ideas of language, satisfaction, and compactness; Some examples of elimination of quantifiers; The diagram technique; Model complete theories, companion theories, existentially closed structures, and various refinements; etc.
by Jan Wolenski - ESSLLI
This text provides the basic information about the metatheory of formal system. It will start with a brief information about propositional calculus and first-order logic. Then, fundamental theorems about elementary logic will be stated and proved.
by J. Barwise, S. Feferman - Springer
The subject matter of this book constitutes a merging of several directions in general model theory: cardinality quantifiers; infinitary languages; and, finally, that on generalized quantifiers and abstract characterizations of first-order logic.